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奇异扰动的p-Laplace方程非负非平凡解和正解的结构

张正策 李开泰

张正策, 李开泰. 奇异扰动的p-Laplace方程非负非平凡解和正解的结构[J]. 应用数学和力学, 2004, 25(8): 847-854.
引用本文: 张正策, 李开泰. 奇异扰动的p-Laplace方程非负非平凡解和正解的结构[J]. 应用数学和力学, 2004, 25(8): 847-854.
ZHANG Zheng-ce, LI Kai-tai. Structure of Nonnegative Nontrivial and Positive Solutions of Singularly Perturbed p-Laplace Equations[J]. Applied Mathematics and Mechanics, 2004, 25(8): 847-854.
Citation: ZHANG Zheng-ce, LI Kai-tai. Structure of Nonnegative Nontrivial and Positive Solutions of Singularly Perturbed p-Laplace Equations[J]. Applied Mathematics and Mechanics, 2004, 25(8): 847-854.

奇异扰动的p-Laplace方程非负非平凡解和正解的结构

基金项目: 国家重点基础研究专项基金资助项目(1999032801);国家自然科学基金资助项目(10371095)
详细信息
    作者简介:

    张正策(1976- ),男,河南邓州人,讲师,博士,主要从事偏微分方程理论研究(联系人.Tel:+86-29-82671775;E-mail:zhangzc@mail.xjtu.edu.cn).

  • 中图分类号: O175.25

Structure of Nonnegative Nontrivial and Positive Solutions of Singularly Perturbed p-Laplace Equations

  • 摘要: 精确地刻画了某些奇异扰动的p-Laplace方程非负非平凡解和正解的结构.利用上下解方法证明,方程存在很多非负非平凡的尖峰解和正的过渡尖峰解.当参数充分小时还对每个尖峰解支集的上下界进行了估计.
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出版历程
  • 收稿日期:  2002-11-05
  • 修回日期:  2004-03-08
  • 刊出日期:  2004-08-15

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